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WorksheetsSolving Equations
Total questions: 129
Worksheet time: 10hrs 50mins
Name
Class
Date
1.
19 + a = -50
a)
a = -950
b)
a = -69
c)
a = -31
d)
a = -50/19
2.
x - 8 = -5
a)
13
b)
-13
c)
3
d)
-3
3.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
4.
18+m=8
a)
m=0
b)
m=10
c)
m=-10
d)
m=8
5.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
6.
-16+ x= -15
a)
2
b)
0
c)
-1
d)
1
7.
-7b=49
a)
B=7
b)
B=-7
c)
B=2
8.
7. -4y = 48
a)
x = -52
b)
x = -12
c)
x = -44
d)
x = -13
9.
Solve the equation
3x = 27.
3x = 27.
a)
x = 24
b)
x = 81
c)
x = 9
10.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side.
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
11.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
12.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
13.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
14.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
15.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
16.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
17.
∠AOB and ∠COB can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
18.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
19.
If m∠1 = 30°, then m∠3 =
a)
30°
b)
60°
c)
150°
d)
undetermined
20.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
21.
Find the value of x.
a)
38°
b)
52°
c)
142°
d)
152°
22.
What is the LET STATEMENT for the problem below?
Three times the sum of a number and seven is fifteen. What is the number?
Three times the sum of a number and seven is fifteen. What is the number?
a)
Let s = sum
b)
Let n = a number
c)
Let a = answer
d)
Let me out of this math class!
23.
What is the EQUATION for the problem below?
Three times the sum of a number and seven is fifteen. What is the number?
Let n = a number
Equation:
Three times the sum of a number and seven is fifteen. What is the number?
Let n = a number
Equation:
a)
3x + 7 = 15
b)
3x - 7 = 15
c)
3(x +7) = 15
d)
3(x - 7) = 15
24.
What is the ANSWER for the problem below?
Ian spent $35 at the fair on ride tickets and admission. It cost $5 to get into the fair and $2 per ride ticket. How many ride tickets did Ian buy?
Let t = ride tickets
Equation: 5 + 2t = 35
Answer:
Ian spent $35 at the fair on ride tickets and admission. It cost $5 to get into the fair and $2 per ride ticket. How many ride tickets did Ian buy?
Let t = ride tickets
Equation: 5 + 2t = 35
Answer:
a)
Ian bought 20 ride tickets.
b)
Ian bought 15 ride tickets.
c)
Ian bought 7 ride tickets.
d)
Ian should have invited me to go to the fair with him!
25.
What is the EQUATION for the problem below?
Isaiah his sixteen blue and red marbles. He has three times as many blues as reds. How many red marbles does Isaiah have? How many blue marbles does he have?
Let r = red marbles
Let 3r = blue marbles
Equation:
Isaiah his sixteen blue and red marbles. He has three times as many blues as reds. How many red marbles does Isaiah have? How many blue marbles does he have?
Let r = red marbles
Let 3r = blue marbles
Equation:
a)
3b + b = 16
b)
r + 3r = 16
c)
r + b = 16
d)
r + 3b = 16
26.
What is the EQUATION for the problem below?
Ian spent $35 at the fair on ride tickets and admission. It cost $5 to get into the fair and $2 per ride ticket. How many ride tickets did Ian buy?
Let t = ride tickets
Equation:
Ian spent $35 at the fair on ride tickets and admission. It cost $5 to get into the fair and $2 per ride ticket. How many ride tickets did Ian buy?
Let t = ride tickets
Equation:
a)
5t + 2 = 35
b)
7t = 35
c)
5 + t = 35
d)
5 + 2t = 35
27.
What is the EQUATION for the problem below?
Nick’s dog weighs 12 pounds more than Kiyah’s dog. Kiyah's dog weighs 60 pounds. How much does Nick’s dog weigh?
Let n = weight of Nick's dog
Equation:
Nick’s dog weighs 12 pounds more than Kiyah’s dog. Kiyah's dog weighs 60 pounds. How much does Nick’s dog weigh?
Let n = weight of Nick's dog
Equation:
a)
n + 12 = 60
b)
n - 12 = 60
c)
k + 12 = 60
d)
k - 12 = 60
28.
19 + a = -50
a)
a = -950
b)
a = -69
c)
a = -31
d)
a = -50/19
29.
a + 42 = -34
a)
a = -17/28
b)
a = 8
c)
a = -76
d)
a = -1428
30.
-12 + c = 38
a)
c = -19/6
b)
c = -456
c)
c = 26
d)
c = 50
31.
a - 27 = 41
a)
a = 68
b)
a = -41/27
c)
a = -1107
d)
a = 14
32.
x - 8 = -5
a)
13
b)
-13
c)
3
d)
-3
33.
w/5 = -10
a)
w = -50
b)
w = 50
c)
w = 2
d)
w = -2
34.
18 = -3c
a)
c = 6
b)
c = -6
c)
c = 15
d)
c = -15
35.
-22 = a/7
a)
a = -154
b)
a = 154
c)
a = 15
d)
a - -15
36.
A man named John Cena started out with 20 dollars. He walked into the WWE store and bought 4 bobble heads. He ended out with 5 dollars left. How much money did the bobble heads cost.
a)
4b-5=20
b)
4b+5=20
c)
4b=5+20
d)
4b+20=5
37.
The PPAP guy was at Walmart and decided to buy some apples which were 3 dollars a piece then he saw pineapples that were 4 dollars a piece. The total cost was 22 dollars.
a)
3a+4=21
b)
3a+4=21
c)
3a-4=22
d)
3a+4=22
38.
A man was renting a book from the library and it costs 12 dollars plus 8 per day. If you paid 44 dollars how long did you rent the book for?
a)
8r+12=44
b)
8r=44+12
c)
8r+12=44
d)
8r+12=16
39.
If x = 7, which equation is true?
a)
4x + 6 = 33
b)
6x - 5 = 47
c)
3x - 4 = 12
d)
7x - 9 = 40
40.
It costs $5 to go on a ride at Roller Coaster World. When Jose went to the park on Tuesday, he spent $6 on food and the rest on the rides. How many rides did he go on if he spent $41?
a)
5
b)
6
c)
7
d)
8
41.
Corey and David both have lots of video games.
* The number of games Corey has can be represented by x
* Ricky has 3 times as many games as Corey.
* The total number of games is 64
What is x, the total number of games Corey has
* The number of games Corey has can be represented by x
* Ricky has 3 times as many games as Corey.
* The total number of games is 64
What is x, the total number of games Corey has
a)
60
b)
67
c)
12
d)
16
42.
Which equation matches this situation?
Diego is saving money for concert tickets to Melanie Martinez, after mowing lawns he has a $120. He already has $46 saved and earned $15 per lawn.
Diego is saving money for concert tickets to Melanie Martinez, after mowing lawns he has a $120. He already has $46 saved and earned $15 per lawn.
a)
46 + 15x = 120
b)
15x + 46 = 120
c)
120 = 46x - 15
d)
120 = 46x = 15
43.
Write an equation and solve for this situation? Jeff bought Takis for $3. He also bought some drinks for $2.50 each. He spent $15.50 total on the Takis and drinks. How many drinks did he buy?
a)
3
b)
4
c)
5
d)
6
44.
Solve for x.
3x + 7 = 31
3x + 7 = 31
a)
6
b)
8
c)
10
d)
7
45.
What is the value of x in this equation?
3x - 13 = 17
3x - 13 = 17
a)
1.3333
b)
2
c)
10
d)
none of the above
46.
Which equation fits this situation?
A group of adults plus one child go to the movies. Tickets for adults is $8 and the child gets in for $6. The total cost for the movie is $54.
A group of adults plus one child go to the movies. Tickets for adults is $8 and the child gets in for $6. The total cost for the movie is $54.
a)
8 + 6x = 54
b)
8x - 6 = 54
c)
54 = 8x + 6
d)
54 = 8 + 6x
47.
What is the value of x in this equation?
4x - 3 = 45
4x - 3 = 45
a)
11
b)
12
c)
13
d)
not here
48.
If x is 7, which of these equations is true?
a)
4x - 7 = 21
b)
3x + 6 = 21
c)
7x - 4 = 36
d)
not here
49.
Solve for x.
3x + 5 = - 1
3x + 5 = - 1
a)
1
b)
2
c)
- 2
d)
- 1
50.
What value of n makes the equation true?
a)
6
b)
4
c)
18
d)
not here
51.
What is the value of x?
a)
4
b)
3
c)
2
d)
not here
52.
Solve the inequality
c - 7 > 8
c - 7 > 8
a)
c < 15
b)
c > 15
c)
c < - 15
d)
c >, = 15
53.
Solve the inequality
k + 2 < -7
k + 2 < -7
a)
k < -9
b)
k > 9
c)
k < 9
d)
k = -9
54.
Solve the inequality
s - 10 ≤ 1
s - 10 ≤ 1
a)
s ≤ 11
b)
s ≤ 9
c)
s ≥ 11
d)
s ≥ 9
55.
Solve the inequality
f - 6 ≥ 12
f - 6 ≥ 12
a)
f = 18
b)
f ≥ 18
c)
f ≥ -18
d)
f
≤ 18
56.
What is the solution to
2x + 3 < 9
2x + 3 < 9
a)
x<3
b)
x>3
c)
x<4
d)
x>4
57.
Solve the inequality
3t - 2>10
3t - 2>10
a)
t<4
b)
t>2.6
c)
t>4
d)
t<2.6
58.
Solve the inequality
7m - 8 > 6
7m - 8 > 6
a)
m>2
b)
m<2
c)
m>-2
d)
m<-2
59.
Solve the inequality
6c + 4 > 22
6c + 4 > 22
a)
c<11
b)
c<3
c)
c>11
d)
c>3
60.
What inequality does the number line graph represent?
a)
x <= 4
b)
x>= -4
c)
x < -4
d)
x < 4
61.
What inequality does the number line graph represent?
a)
x > 4
b)
x > -4
c)
x < 4
d)
x >= -4
62.
What inequality does the number line graph represent?
a)
x > 5
b)
x < -5
c)
x <= 5
d)
x >= -5
63.
What inequality does the number line graph represent?
a)
x > 4
b)
x >= 4
c)
x <= -4
d)
x <= 4
64.
Solve the inequality
2x - 9 = -35
2x - 9 = -35
a)
x = -13
b)
x = 13
c)
x = 22
d)
x = -22
65.
Solve the inequality
4x + 10 = -26
4x + 10 = -26
a)
x = 4
b)
x = -4
c)
x = -9
d)
x = 9
66.
Solve the inequality
4x + 10 = -26
4x + 10 = -26
a)
x = 4
b)
x = -4
c)
x = -9
d)
x = 9
67.
What inequality does the number line graph represent?
a)
x >= 3
b)
x > 3
c)
x < -3
d)
x <= 3
68.
Solve the equation
x/3+ 10 = 15
x/3+ 10 = 15
a)
x = 75
b)
x = 15
c)
x = 25
d)
x = 5
69.
Solve the equation
6x + 5x = -11
6x + 5x = -11
a)
x = -2
b)
x = -1
c)
x = 1
d)
x = 2
70.
Solve the equation
3x + 11 = 44
3x + 11 = 44
a)
x = 3
b)
x = 10
c)
x = 11
d)
x = 4
71.
Sarah’s truck can carry a maximum of 1500 pounds. She puts a 100-pound bag of cement mix in the truck.Which inequality can be used to find b, the number of 5-pound bricks that can also be put in the truck
a)
1500 ≥ 5b + 100
b)
1500 ≤ 5b + 100
c)
1500 ≥ 100b + 5
d)
1500 ≤ 100b + 5
72.
Dave wants to buy a bike for $180. He has $40. Dave mows lawns for $10 per lawn. How many lawns does Dave need to mow to have enough money to buy the bike.
a)
17 lawns
b)
18 lawns
c)
14 lawns
d)
13 lawns
73.
The relationship between velocity (v), distance traveled (d), and time (t) is described in this formula.
v = d / t
Which equation shows the solution for t in terms of d and v?
v = d / t
Which equation shows the solution for t in terms of d and v?
a)
t = v/d
b)
t = dv
c)
t = d/v
d)
t = d - t
74.
Solve the following equation:
8x - 15 = 3x + 20
8x - 15 = 3x + 20
a)
x = 3.5
b)
x = 3
c)
x = 1
d)
x = 7
75.
One gram of fat contains 9 calories, and one gram of protein contains 4 calories. If one serving of a food contains 170 calories and has 6 grams of protein, which equation can be used to find the number of grams of fat, x, in the serving?
a)
6x + 36 = 170
b)
9x + 24 = 170
c)
7(x + 9) = 170
d)
13 (x + 6) = 170
76.
What is the value of x in this equation.
4(x+3) + 2x = 7
4(x+3) + 2x = 7
a)
-5/3
b)
2/3
c)
19/6
d)
-5/6
77.
Henri works 18 hours per week at a local shopping center. He earns $8.25 per hour. Henri is saving money to purchase a computer that costs $900.Henri is paid at the end of each week.He has weekly expenses of $52.Henri saves the rest of his pay toward the purchase of the computer. After how many weeks will Henri have enough money saved to purchase a computer?
a)
6 weeks
b)
7 weeks
c)
9 weeks
d)
10 weeks
78.
Look at this equation.
2x - (4x - 12) = 3
Which of these equations is a step in solving the equation for x
2x - (4x - 12) = 3
Which of these equations is a step in solving the equation for x
a)
-4x + 12 = 3
b)
6x + 12 = 3
c)
-2x + 12 = 3
d)
-14x = 3
79.
What number below could be solution to the following inequality?
-5(6x + 8) < 20(x + 3)
-5(6x + 8) < 20(x + 3)
a)
-4
b)
-3
c)
-2
d)
-1
80.
The school football team needs to raise at least $850 to buy new practice equipment. The team received a donation of $125 and also earns $4 per ticket sold. What is the least number of tickets that need to be sold for the team to have enough money for the new practice equipment
a)
181 tickets
b)
182 tickets
c)
212 tickets
d)
213 tickets
81.
solve the equation
5(3 - 2x) = - (10x - 15)
5(3 - 2x) = - (10x - 15)
a)
x=5
b)
Infinite Solutions
c)
x = 1
d)
No solutions
82.
Solve the equation
-2(x - 5) = 7 - 2x
-2(x - 5) = 7 - 2x
a)
Infinite Solutions
b)
x = -3
c)
x = 3
d)
No solutions
83.
Solve the equation
-12 h + 39 = -4h - 17
-12 h + 39 = -4h - 17
a)
h = 8
b)
h = 3.5
c)
h = 7
d)
h = 1.3
84.
To become a member of an ice skating rink, you have to pay $30 membership fee. The cost of admission to the rink is $5 for members and $7 for nonmembers. After how many visits to the rink is the total cost for members, including the membership fee, the same as the total cost for nonmembers?
a)
2 visits
b)
6 visits
c)
15 visits
d)
20 visits
85.
Solve for y
8x + y =14
8x + y =14
a)
y = 14 + 8x
b)
y = 14 - 8x
c)
y = 6x
d)
y = 14 - y
86.
1.
a)
3/15
b)
4/15
c)
11/15
d)
1 and 1/15
87.
2
a)
15 and 8/9
b)
1 and 2/9
c)
11/9
d)
16 and 6/9
88.
3
a)
4 and 1/2
b)
3/4
c)
4 and 1/4
d)
1 and 3/4
89.
4
a)
3 and 5/8
b)
2 and 7/8
c)
3 and 1/4
d)
2 and 1/8
90.
5
a)
3/10 + 2/5
b)
1 - (3/10 + 4/10)
c)
1 - (3/10 + 2/10)
d)
Not here
91.
A teacher bought 12 packets of crayons. Seven of the packets had 9 crayons and the other five packets had 10 crayons How many crayons did the teacher buy in all?
a)
113
b)
50
c)
63
d)
120
92.
Tom had 114 baseball cards. He kept 10 and shared the rest evenly among his 8 friends. How many baseball cards did each friend get?
a)
15
b)
13
c)
18
d)
12
93.
Kaya has 20 photos of dogs and 30 photos of cats. She displayed an equal number of them on 10 posters for a fund raiser for an animal shelter. How many photos were on each poster?
a)
5
b)
150
c)
60
d)
20
94.
Each pack of pencils contains 8 pencils. Sahil bough 3 packs and divided them equally among 6 people. How many pencils did each person get?
a)
24
b)
4
c)
17
d)
5
95.
The temperature was 80 degrees in the afternoon. It was 50 degrees in the evening. How much did the temperature change?
a)
25 degrees
b)
30 degrees
c)
130 degrees
d)
20 degrees
96.
Bepa went to the store and bought chairs. Each chair cost 5 dollars. How much money did Bepa spend for the 4 chairs he bought?
a)
$20
b)
$1
c)
$15
d)
$10
97.
Danny has 297 marbles. He bought 468 more marbles. How many marbles does Danny have now?
a)
765 marbles
b)
655 marbles
c)
764 marbles
d)
171 marbles
98.
Patty has 817 marbles. She gave away 529 of her marbles. How many marbles does she have left?
a)
1,446 marbles
b)
288 marbles
c)
312 marbles
d)
298 marbles
99.
Jeff had sixteen dollars. For his birthday he got twenty-eight more dollars but spent twenty-five on a new game. How much money does he have now?
a)
19
b)
44
c)
3
d)
12
100.
Mrs. Chesser is packing up the school store. She can fit 8 packs of erasers into each box. She has 60 packs of erasers she needs to pack. How many boxes should Mrs. Chesser get?
a)
7
b)
6
c)
8
d)
9
101.
What is the first step (after setting up your work space) in solving this equation:
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
102.
What is the first step (after setting up your workspace) to complete when solving this equation?
10 - 3y = 4
10 - 3y = 4
a)
Add 10
b)
Subtract 10
c)
Add 3
d)
Divide by -3
103.
Solve for b:
.5b + 4 = 20
.5b + 4 = 20
a)
8
b)
48
c)
24
d)
32
104.
Solve for the variable. 3x=-27
a)
x=9
b)
x=-30
c)
x=-9
d)
x=-24
105.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
109.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
107.
**
a)
8
b)
-7
c)
-8
d)
4
108.
Solve:
4b + 6 ≤ 18
4b + 6 ≤ 18
a)
b ≥ 3
b)
b ≤ 3
c)
b ≥ 48
d)
b ≤ 48
109.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
117.
Solve for x:
5x - 14 = 8x + 4
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
111.
Bryan has $90 and his brother has $180. Bryan saves $10.50 per week, and his brother saves $7.50 per week. How many weeks will it take for the boys to have the same amount of money?
a)
25
b)
30
c)
24
d)
Not Here
114.
4x + 2(x + 6) = 36
a)
x = 4
b)
x = 5
c)
x = 7
d)
x = 8
113.
7(3x + 2) ≤ 56
a)
x ≤ 2
b)
x ≥ 2
c)
x ≥ 4
d)
x ≤ 4
114.
4x + 2(x + 6) = 36
a)
x = 4
b)
x = 5
c)
x = 7
d)
x = 8
115.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
116.
Joaquin has a $50 gift card from Pizza Palace. All pizzas at Pizza Palace cost $7 each. Joaquin wants to give the driver a $5 tip for delivering the pizza. Which inequality could be used to determine the possible number of pizzas, p, he could order with his gift card, including the tip?
a)
7p + 5 ≤ 50
b)
(7 + 5)p ≤50
c)
7p + 5 ≥ 50
d)
7p + 5 < 50
117.
Solve for x:
5x - 14 = 8x + 4
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
118.
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
a)
2 hours
b)
3 hours
c)
4 hours
d)
5 hours
119.
The charges for two train services are shown in the table. At what number of miles will the cost of both trains be the same?
a)
40 miles
b)
10 miles
c)
45 miles
d)
Not here
120.
What value of h makes the equation true?
a)
-5/2
b)
5/2
c)
-2/5
d)
Not Here
121.
A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?
a)
1500 + 8t = 12
b)
12 + 8t = 1500
c)
1500 + 8t = 12t
d)
8t = 12t + 1500
122.
A record store sells CDs for $12 each. A music club offers 5 free CDs and charges $15 for each additional CD. Which equation can you use to find the number of CDs x that would cost the same under both plans?
a)
15x - 5 = 12x
b)
12x - 5 = 15x
c)
12x = 15(x - 5)
d)
12(x - 5) = 15x
123.
8 - 9t = 21t - 17
a)
t = 6/5
b)
t = 5/6
c)
t = 1
124.
Solve for y.
5x - 2y = 10
5x - 2y = 10
a)
-2y = 10 - 5x
b)
y = 5 + 5x/2
c)
y = -5 + 5x/2
d)
y = 5 - 5x/2
125.
Solve for y.
4x - 2y = -6
4x - 2y = -6
a)
-2y = -6 - 4x
b)
y = 3 + 2x
c)
y = -3 - 2x
d)
y = -3 + 2x
126.
Solve for y.
2x + 3y = 9
2x + 3y = 9
a)
y = -3 + 2x/3
b)
y = 9 - 2x
c)
y = 3 - 2x
d)
y = 3 - 2x/3
127.
What is the first step (after setting up your workspace) to complete when solving this equation?
10 - 3y = 4
10 - 3y = 4
a)
Add 10
b)
Subtract 10
c)
Add 3
d)
Divide by -3
128.
What is the first step (after setting up your work space) in solving this equation:
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
129.
What inequality does the number line graph represent
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
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